Finding the Third Proportional to 37,730 and 82,716

Step by Step Solution

1. Step 1: Write the proportion equation
   37,730 : 82,716 = 82,716 : x
2. Step 2: Convert to fraction form
   37,730/82,716 = 82,716/x
3. Step 3: Cross multiply
   37,730x = 82,716 × 82,716
4. Step 4: Simplify right side
   37,730x = 6,841,936,656
5. Step 5: Solve for x
   x = 6,841,936,656/37,730
6. Step 6: Final answer
   x = 181,339.43